## Plane Geometry |

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... . 15. A point bisects a segment if it

... . 15. A point bisects a segment if it

**divides**the segment into two equal segments . The point is called the Mid - point of the segment . A Thus , C bisects AB if AC = CB . It will be assumed as apparent that a segment has 8 PLANE GEOMETRY. Page 11

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**divides**the angle into two equal angles . Thus , OC bisects ZAOB if ≤ 1 = 22 . B The line is called the Bisector of the angle . It will be assumed as apparent that an 2 equal to angle has only one bisector . Ex . 39 . 2 . Make a ... Page 19

... elementary surveying problems can be solved . On a flat board about 20 inches square , draw a circle of diameter 10 inches .

... elementary surveying problems can be solved . On a flat board about 20 inches square , draw a circle of diameter 10 inches .

**Divide**its circumference into 360 equal parts . Make an arm which may swing about the center of INTRODUCTION 19. Page 41

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**Divide**it into four equal parts . Ex . 59. Construct the bisectors of the three angles of a large triangle . What seems to happen ? Ex . 60. Three pieces of wood are to be joined as in the figure on the right . Construct to scale ... Page 44

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**Divide**a given segment into four equal parts . Ex . 66 Draw a triangle of large size . Construct the perpendicular- bisectors of the three sides . What happens ? 79. A Median of a triangle is the line drawn from a vertex to the mid ...### Other editions - View all

### Common terms and phrases

ABCD acute angle adjacent angles adjoining figure altitude angles are equal apothem base bisector bisects central angle chord circle of radius circumscribed polygons Conclusion congruent Construct a triangle Determine diagonals diameter divide Draw drawn equal angles equal circles equal respectively equal sides equidistant equilateral triangle extended exterior angle geometry given circle given point given segment given triangle Hence homologous sides hypotenuse Hypothesis intersect isosceles trapezoid isosceles triangle length mean proportional median meeting AC mid-point Note number of sides opposite sides parallel parallelogram pentagon perigon perimeter perpendicular perpendicular-bisector PROPOSITION quadrilateral radii ratio rectangle regular inscribed polygons regular polygon rhombus right angle right triangle secant similar triangles straight angle straight line Suggestion Suggestions.-1 Supplementary Exercises tangent THEOREM trapezoid triangle ABC triangle equal Try to prove vertex ZAOB

### Popular passages

Page 166 - The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse.

Page 207 - The areas of two similar triangles are to each other as the squares of any two homologous sides.

Page 166 - The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

Page 83 - If two sides of a triangle are unequal, the angles opposite are unequal, and the greater angle is opposite the greater side.

Page 170 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.

Page 105 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.

Page 86 - If two triangles have two sides of one equal, respectively, to two sides of the other...

Page 204 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.

Page 299 - Prove that an equiangular polygon inscribed in a circle is regular if the number of sides is odd. Ex.

Page 194 - Two rectangles are to each other as the products of their bases and altitudes. For if R = a6, and R